Sean Dyche, Manager of Burnley
The Hammers desperately needed a win on Friday night when they took on Brighton and Hove Albion at the London Stadium, but they fell to an embarrassing 3-0 defeat.
That result means that West Ham have now lost five of their nine Premier League games this season, and the pressure is once again mounting on manager Bilic.
Ronald Koeman and West Ham boss Slaven Bilic
The Croatian only just managed to cling onto his job at the end of last season, and The Mirror now report that West Ham are already looking at potential replacements for Bilic, with Burnley's Sean Dyche one option.
Dyche, 46, has worked wonders with Burnley since taking the reins at Turf Moor in 2012, and after winning promotion to the Premier League twice, he is now establishing the Clarets as a Premier League club.
With 13 points from nine games, Dyche has impressed this season, leading Burnley to away wins over Chelsea and Everton, as well as snatching points away Tottenham and Liverpool, having made the Clarets incredibly hard to beat.
Dyche could make West Ham an organised defensive unit – something rarely seen under Bilic – and that may just make him an appealing target, with the Hammers hierarchy allegedly considering a move should they sack Bilic.
However, West Ham may now face a battle, as The Telegraph report that Dyche has emerged as a top target for Everton, who sacked Ronald Koeman today – meaning that whilst West Ham may like Dyche, they could miss out if they don't act quickly.